1 Table of Contents: “... Decomposition of a Simple Compact Lie Algebra -- Some Auxiliary Results -- Principal Involutive Automorphisms...”

2 Table of Contents: “... Submanifolds -- Decomposition Theorems -- Umbilic-Likeness of Main Symmetric Orbits -- Geometric Descriptions...”

3 Table of Contents: “... -- Symmetric Cones -- Pseudo-Hermitian Symmetric Spaces of Tube Type -- Homogeneous Riemannian Manifolds Whose...”

4 Table of Contents: “... Decompositions for Symmetric -Varieties -- Root Systems for Levi Factors and Borel#x2013;de Siebenthal Theory...”

5 Table of Contents: “... -- Decomposition of Semi-Algebraic Sets -- Elements of Topology -- Quantitative Semi-algebraic Geometry...”

6 Table of Contents: “... formula -- The X-ray transform on a symmetric space -- Visibility, horocycles, and the Bruhat...”

7 Table of Contents: “... in Rd -- Jacobi Decomposition and Eigenvalues of Symmetric Matrices -- Discrete Geometry on Red and Blue...”

8 Table of Contents: “... sum decompositions -- §5 The lower semicontinuity of the operator “exp” -- §6 Convex cones -- §7...”

9 Table of Contents: “... and Primary Decomposition -- 4 Integral Dependence and the Nullstellensatz -- 5 Filtrations and the Artin-Rees...”

10 Table of Contents: “... decomposition -- 7.2 BN-pairs -- 7.3 Deletion Property -- 7.4 Deletion property and Coxeter groups -- 7.5...”